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Simplifying 2 + -3x + -2 + -1(7x + 14) = 3x + -1(3 + 9x) + 1 Reorder the terms: 2 + -3x + -2 + -1(14 + 7x) = 3x + -1(3 + 9x) + 1 2 + -3x + -2 + (14 * -1 + 7x * -1) = 3x + -1(3 + 9x) + 1 2 + -3x + -2 + (-14 + -7x) = 3x + -1(3 + 9x) + 1 Reorder the terms: 2 + -2 + -14 + -3x + -7x = 3x + -1(3 + 9x) + 1 Combine like terms: 2 + -2 = 0 0 + -14 + -3x + -7x = 3x + -1(3 + 9x) + 1 -14 + -3x + -7x = 3x + -1(3 + 9x) + 1 Combine like terms: -3x + -7x = -10x -14 + -10x = 3x + -1(3 + 9x) + 1 -14 + -10x = 3x + (3 * -1 + 9x * -1) + 1 -14 + -10x = 3x + (-3 + -9x) + 1 Reorder the terms: -14 + -10x = -3 + 1 + 3x + -9x Combine like terms: -3 + 1 = -2 -14 + -10x = -2 + 3x + -9x Combine like terms: 3x + -9x = -6x -14 + -10x = -2 + -6x Solving -14 + -10x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + -10x + 6x = -2 + -6x + 6x Combine like terms: -10x + 6x = -4x -14 + -4x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + -4x = -2 + 0 -14 + -4x = -2 Add '14' to each side of the equation. -14 + 14 + -4x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -2 + 14 -4x = -2 + 14 Combine like terms: -2 + 14 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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